| George D. Pettee - Geometry, Plane - 1896 - 272 pages
...of a circle and its diameter is constant. This constant ratio is denoted by the PROPOSITION XIX 277. Theorem. The area of a circle is equal to onehalf the product of its circumference and its radius. Appl. Cons. Dem. Let M = a circle whose circumference = C, whose... | |
| Joe Garner Estill - 1896 - 186 pages
...The areas of two similar triangles are to each other as the squares of any two homologous sides. 5. The area of a circle is equal to one-half the product of its circumference and radius. Yale, June, 1894. GEOMETRY (B). TIME FORTY-FIVE MISUTES. 1. What is the... | |
| Joe Garner Estill - Geometry - 1896 - 168 pages
...The areas of two similar triangles are to each other as the squares of any two homologous sides. 5. The area of a circle is equal to one-half the product of its circumference and radius. Yale, June, 1894. GEOMETRY (B). TIME FORTY-FIVE MINUTES. 1. What is the... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...all is \ R times the sum of their bases. Or area polygon = ^RxP. QED PROPOSITION XII. THEOREM 473. The area of a circle is equal to one-half the product of its radius and circumference. GIVEN— a circle with radius ^.circumference C, and area S. To PROVE... | |
| Henry W. Keigwin - Geometry - 1897 - 254 pages
...symmetry has a circle? 2. Prove that the circle has a center of symmetry. PBOPOSITION XIV. THEOREM. 364. The area of a circle is equal to one-half the product of its circumference and radius. [Use the area of a regular circumscribed polygon.] 365. COR. The area... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...of a regular hexagon circumscribed about a circle whose radijis is /?. PROPOSITION XII. THEOREM 473. The area of a circle is equal to one-half the product of its radius and circumference. GIVEN— a circle with radius R, circumference C, and area 5. To PROVE... | |
| Virginia. Dept. of Education - Education - 1897 - 368 pages
...product of its base and altitude. 8. To construct a square equivalent to the sum of two given squares. 9. The area of a circle is equal to one-half the product of its radius by its circumference. 10. To inscribe a regular hexagon in a given circle. ZOOLOGY. 1. Describe... | |
| James Howard Gore - Geometry - 1898 - 232 pages
...areas of an inscribed, and of a circumscribed, equilateral triangle. PROPOSITION IX. THEOREM. 304. The area of a circle is equal to one-half the product of its circumference and radius. (Compare 292.) F a E Let R denote the radius, C the circumference, and... | |
| Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...arcs. 6. Any two rectangles are to each other as the products of their bases by their altitudes. 7. The area of a circle is equal to one-half the product of its circumference and radius. 8. A regular hexagon, ABCDEF, is inscribed in a circle whose radius is... | |
| Yale University - 1898 - 212 pages
...The areas of two similar triangles are to each other as the squares of any two homologous sides. 5. The area of a circle is equal to one-half the product of its circumference and radius. JUNE 1894. (b) 1. What is the number of degrees in each angle of a regular... | |
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